Chapter

Mayer virial expansions and Groeneveld’s theorems

Barry M. McCoy

in Advanced Statistical Mechanics

Published in print December 2009 | ISBN: 9780199556632
Published online February 2010 | e-ISBN: 9780191723278 | DOI: https://dx.doi.org/10.1093/acprof:oso/9780199556632.003.0006

Series: International Series of Monographs on Physics

 Mayer virial expansions and Groeneveld’s theorems

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This chapter introduces the concept of the low density virial expansion of the equation of state, and derives the Mayer diagram theory for computing this expansion. Groeneveld's theorems for non-negative potentials and bounds on the radius of convergence of the virial expansion are proven.

Keywords: virial expansion; Mayer diagrams; Groeneveld's theorems; convergence

Chapter.  6326 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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